Various ways of venting a tolit

I want to vent a tolit L/S 90 going to the front of the tolit 12 inches away a 3/3/2 wye turned down 45 dgs from straight up a 2inch 22 ajusted to a 1/4 in slope p/f to back wall thenL/S vertical to vent and drain a lavi sink is this code. Thanks